Spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns: comment
JOSA A, Vol. 23, Issue 6, pp. 1530-1534 (2006)
http://dx.doi.org/10.1364/JOSAA.23.001530
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Abstract
I repeat my (very short and easy) disproof of the recurring main claim of Ardavan et al. [J. Opt. Soc. Am. A 21, 858 (2004) ] that a smooth source of electromagnetic fields moving in a confined region can generate an intensity decaying more slowly than the inverse square of the distance away (“nonspherical” decay). The field is not isotropic, so energy conservation is not enough to dismiss the claim. Instead my disproof follows directly from Maxwell’s equations, supplying an upper bound with inverse square decay on the intensity. It therefore applies under all circumstances, quite irrespective of any fast or slow motion of the source. Despite the falsity of the main claim, the derivation of the uniform approximation to the Green function for superluminal circulation, which was needed for the claim and is based on the previous work of the first author, is valid. Its validity, importantly, extends significantly beyond the regime envisaged by the authors, and it stands as a basic result of superluminal circulation.
© 2006 Optical Society of America
OCIS Codes
(030.1670) Coherence and statistical optics : Coherent optical effects
(040.3060) Detectors : Infrared
(230.6080) Optical devices : Sources
(250.5530) Optoelectronics : Pulse propagation and temporal solitons
(260.2110) Physical optics : Electromagnetic optics
History
Original Manuscript: June 29, 2005
Manuscript Accepted: August 10, 2005
Citation
J. H. Hannay, "Spectral and polarization characteristics of the nonspherically decaying radiation generated by polarization currents with superluminally rotating distribution patterns: comment," J. Opt. Soc. Am. A 23, 1530-1534 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-6-1530
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